查询词典 theorem

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

This is a simple example of the equipartition theorem at work.

这就是均分定理应用的一个简单例子。

when the gas is in an equilibrium state, the mean energy of any gas molecule in a degree of freedom is equal to . This is known as equipartition theorem.

气体处于平衡态时，气体分子任何一个自由度上的平均能量都相等，均为，这就是能量按自由度均分定理。

By using theories of almost type functions,the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences ,as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R+ are obtained.

利用概周期型函数的理论，得出了渐近周期函数和渐近周期序列二者的关系定理，以及R+上的向量值渐近周期函数与概周期函数的等价关系。研究了渐近强周期函数空间、渐近周期序列空间的可分性质

Although classical Ekeland is equivalent to classical Caristi fixed point theorem, we can not make the same degree of generalization for them.

另外，我们指出即使古典的Caristi不动点定理和Ekeland变分原理是等价的，但是Ekeland变分原理不能和Caristi不动点定理作相同程度的推广。

Investment share ; market share ; portfolio ; random dynamical system ; multiplicative ergodic theorem

投资份额；市场份额；资产组合；随机动力系统；乘积遍历理论

Oseledec\'s Multiplicative Ergodic Theorem does not only solve the existence of Lyapunov exponents, but also show much more information of the dynamical structure.

Oseledec的乘法遍历定理解决了Lyapunov指数的存在性问题，并对动力系统的动力学结构给出了更多的信息，它现在已成为动力系统理论的最基本定理之一。

In the third chapter,we will discuss the properties of Haar measure,and then wewill prove the Ergodic theorem;at last,we follow Dale,Baaj and Skandalis to give twoexistence theorems of Haar measure,which we proved in different language.

在第三章我们讨论了Haar测度的性质，证明了〓双代数中的平均遍历定理，并且用算子的观点叙述证明了Dale和Baaj、Skandalis分别给出的两个Haar测度存在定理。

The most plausible operatorial generalization of result of preceding paragraph is known as the "mean ergodic theorem for unitary operators."

前段结果可以推广到算子去，其中最近情近理的推广是"单算子的平均遍历定理"。

We proved the nonlinear ergodic theorem for semitopological semigroups of asymptotically nonexpansive mappings in the uniformly convex Banach space with the Frechet differentiable norm. We also point out that some key conditions in [23] [24] are unnecessary.

本文第一章主要将文[23][24]中的结论推广到殆轨道的情形，这不仅回答了Lau-Takahashi[24］中的问题，而且指出了文［23］［24]中的某些关键条件是不必要的。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新